A lego system for conditional inference

American Statistician

Volumn 60, Issue 3, 2006, Pages 257-263

  Hothorn, Torsten ^a   Hornik, Kurt ^b   Van De Wiel, Mark A ^c   Zeileis, Achim ^b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b VIENNA UNIVERSITY OF ECONOMICS AND BUSINESS   (Austria)

^c VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Asymptotic distribution; Independence; Permutation tests; Software

Indexed keywords

EID: 33747490400     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1198/000313006X118430     Document Type: Article

References (22)

1. Agresti, A. (2002), Categorical Data Analysis, Hoboken, NJ: Wiley.
2. Balkin, S. D., and Mallows, C. L. (2001), "An Adjusted, Asymmetric Two-Sample t Test," The American Statistician, 55, 203-206.
3. Berger, V. W. (2000), "Pros and Cons of Permutation Tests in Clinical Trials," Statistics in Medicine, 19, 1319-1328.
4. Bönsch, D., Lederer, T., Reulbach, U., Hothorn, T., Kornhuber, J., and Bleich, S. (2005), "Joint Analysis of the NACP-REP1 Marker Within the Alpha Synuclein Gene Concludes Association with Alcohol Dependence," Human Molecular Genetics, 14, 967-971.
5. Edgington, E. S. (1987), Randomization Tests, New York: Marcel Dekker.
6. Ernst, M. D. (2004), "Permutation Methods: A Basis for Exact Inference," Statistical Science, 19, 676-685.
7. Fisher, R. A. (1935), The Design of Experiments, Edinburgh, UK: Oliver and Boyd.
8. Genz, A. (1992), "Numerical Computation of Multivariate Normal Probabilities," Journal of Computational and Graphical Statistics, 1, 141-149.
9. Good, P. I. (2000), Permutation Tests: A Practical Guide to Resampling Methods for Testing, New York: Springer-Verlag.
10. Hothorn, T., Hornik, K., van de Wiel, M., and Zeileis, A. (2006), coin: Conditional Inference Procedures in a Permutation Test Framework, R package version 0.4-6. Available online at http://CRAN.R-project.org/.
11. Janssen, A., and Pauls, T. (2003), "How Do Bootstrap and Permutation Tests Work?", The Annals of Statistics, 31, 768-806.
12. Johnson, N. L., and Kotz, S. (1970), Distributions in Statistics: Continuous Univariate Distributions 2, New York: Wiley.
13. Ludbrook, J., and Dudley, H. (1998), "Why Permutation Tests are Superior to t and F Tests in Biomedical Research," The American Statistician, 52, 127-132.
14. Molefe, D. F., Chen, J. J., Howard, P. C., Miller, B. J., Sambuco, C. P., Forbes, P. D., and Kodell, R. L. (2005), "Tests for Effects on Tumor Frequency and Latency in Multiple Dosing Photococarcinogenicity Experiments," Journal of Statistical Planning and Inference, 129, 39-58.
15. Oster, R. A. (2002), "An Examination of Statistical Software Packages for Categorical Data Analysis Using Exact Methods," The American Statistician, 56, 235-246.
16. _ (2003), "An Examination of Statistical Software Packages for Categorical Data Analysis Using Exact Methods-Part II," The American Statistician, 57, 201-213.
17. Pesarin, F. (2001), Multivariate Permutation Tests: With Applications to Biostatistics, Chichester, UK: Wiley.
18. R Development Core Team (2005), R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria.
19. Rosenbaum, P. R. (1994), "Coherence in Observational Studies," Biometrics, 50, 368-374.
20. Salib, E., and Hillier, V. (1997), "A Case-Control Study of Smoking and Alzheimer's Disease," International Journal of Geriatric Psychiatry, 12, 295-300.
21. Shuster, J. J. (2005), "Diagnostics for Assumptions in Moderate to Large Simple Clinical Trials: Do They Really Help?" Statistics in Medicine, 24, 2431-2438.
22. Strasser, H., and Weber, C. (1999), "On the Asymptotic Theory of Permutation Statistics," Mathematical Methods of Statistics, 8, 220-250. Preprint available online at http://epub.wu-wien.ac.at/dyn/openURL?id=oai:epub. wu-wien.ac.at:epub-wu-01_94c.